B-Methods for the Numerical Solution of Evolution Problems with Blow-Up Solutions Part I: Variation of the Constant

DOI10.1137/15M1011767zbMath1329.65303MaRDI QIDQ3457836

Martin J. Gander, Felix Kwok, Mélanie Beck

Publication date: 18 December 2015

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemsnonlinear partial differential equationssystems of nonlinear equationshyperbolicblow-up solutionsgeometric integrationnumerical integratorsquasi-linear parabolicB-methods

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Second-order quasilinear hyperbolic equations (35L72) Quasilinear parabolic equations (35K59)

Related Items (3)

B-method approach to blow-up solutions of fourth-order semilinear parabolic equations ⋮ B-Methods for the Numerical Solution of Evolution Problems with Blow-Up Solutions Part I: Variation of the Constant ⋮ B-methods for the numerical solution of evolution problems with blow-up solutions. II: Splitting methods

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